Lamplighter groups, bireversible automata, and rational series over finite rings

DOI10.4171/GGD/555MaRDI QIDQ784896

Rachel Skipper, Benjamin Steinberg

Publication date: 3 August 2020

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.00433

zbMATH Keywords

automata groupslamplighter groupsbireversible automatareversible automata

Mathematics Subject Classification ID

Geometric group theory (20F65) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Groups acting on trees (20E08)

Related Items (2)

Bireversible automata generating lamplighter groups ⋮ The lamplighter group of rank two generated by a bireversible automaton

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Affine automorphisms of rooted trees
• Automata generating free products of groups of order 2.
• The spectral measure of certain elements of the complex group ring of a wreath product
• Self-similar products of groups
• Automata and square complexes.
• The spectra of lamplighter groups and Cayley machines.
• On a free group of transformations defined by an automaton.
• On a question of Atiyah
• The Lamplighter Group ℤ₃≀ℤ Generated by a Bireversible Automaton
• AUTOMATA OVER A BINARY ALPHABET GENERATING FREE GROUPS OF EVEN RANK
• The Ihara zeta function of infinite graphs, the KNS spectral measure and integrable maps
• ON A CLASS OF AUTOMATA GROUPS GENERALIZING LAMPLIGHTER GROUPS
• To Infinity and Beyond
• The lamplighter group of rank two generated by a bireversible automaton
• The lamplighter group as a group generated by a 2-state automaton, and its spectrum

This page was built for publication: Lamplighter groups, bireversible automata, and rational series over finite rings